Correlation Inequalities for Classical and Quantum XY Models

Benassi, Costanza, Lees, Benjamin and Ueltschi, Daniel (2017) Correlation Inequalities for Classical and Quantum XY Models. In: Advances in Quantum Mechanics. Springer INdAM Series, 18 (18). Springer, pp. 15-31. ISBN 9783319589039

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Official URL: http://dx.doi.org/10.1007/978-3-319-58904-6_2

Abstract

We review correlation inequalities of truncated functions for the classical and quantum XY models. A consequence is that the critical temperature of the XY model is necessarily smaller than that of the Ising model, in both the classical and quantum cases. We also discuss an explicit lower bound on the critical temperature of the quantum XY model.

Item Type: Book Section
Uncontrolled Keywords: Classical XY model, Correlation inequalities, Lattice systems, Quantum XY model, Spin systems
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Paul Burns
Date Deposited: 15 May 2019 15:40
Last Modified: 10 Oct 2019 18:48
URI: http://nrl.northumbria.ac.uk/id/eprint/39324

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